Midpoint has x=(5+2)/2= 7/2=3.5 and y= (-3+4)/2=1/2= 0.5
Midpoint is ( 3.5 , 0.5 )
the quadrant is (7/4, 1/4)
Answer: The required midpoint is (3.5, 0.5) and it lies in Quadrant 1.
Step-by-step explanation: Given that a line segment PQ has endpoints P(5, -3) and Q(2, 4).
We are to find the midpoint of PQ and the quadrant in which it lies.
We know that
the co-ordinates of the midpoint of a line segment with endpoints (a, b) and (c, d) are given by
[tex]\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).[/tex]
Therefore, the required co-ordinates of the midpoint of PQ is given by
[tex]\left(\dfrac{5+2}{2},\dfrac{-3+4}{2}\right)\\\\\\=\left(\dfrac{7}{2},\dfrac{1}{2}\right)\\\\=(3.5,0.5).[/tex]
Since both the co-ordinates are positive, so the midpoint lies in Quadrant 1.
Thus, the required midpoint is (3.5, 0.5) and it lies in Quadrant 1.
